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Finding the Fourth Proportional to 200.80, 301.12 and 72.52

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Solution

The fourth proportional to 200.80, 301.12 and 72.52 is: 108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.80 : 301.12 = 72.52 : x
  2. Step 2: Convert to fraction form
    200.80/301.12 = 72.52/x
  3. Step 3: Cross multiply
    200.80x = 301.12 × 72.52
  4. Step 4: Simplify right side
    200.80x = 21,837.22
  5. Step 5: Solve for x
    x = 21,837.22/200.80
  6. Step 6: Final answer
    x = 108.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.